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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576 577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592 593 594 595 596 597 598 599 600 601 602 603 | # -*- coding: utf-8 -*- u'''A pure Python implementation of geodesy tools for various ellipsoidal and spherical earth models using precision trigonometric, vector-based, exact, elliptic, iterative and approximate methods for geodetic (lat-/longitude) and geocentric (U{ECEF<https://WikiPedia.org/wiki/ECEF>} cartesian) coordinates. Transcoded from U{JavaScript originals<https://GitHub.com/ChrisVeness/geodesy>} by I{Chris Veness (C) 2005-2022} and from several U{C++ classes<https://GeographicLib.SourceForge.io/C++/doc/annotated.html>} by I{Charles F.F. Karney (C) 2008-2022} and published under the same U{MIT License <https://OpenSource.org/licenses/MIT>}**. There are four modules for ellipsoidal earth models, C{ellipsoidalExact}, C{-Karney}, C{-Vincenty} and C{-Nvector} and two for spherical ones, C{sphericalTrigonometry} and C{-Nvector}. Each module provides a geodetic B{C{LatLon}} and a geocentric B{C{Cartesian}} class with methods and functions to compute distance, surface area, perimeter, initial and final bearing, intermediate and nearest points, circle intersections, path intersections, 3-point resections, rhumb and rhumb lines, trilateration (by intersection, by overlap and in 3d), conversions and unrolling, among other things. For more information and further details see the U{documentation<https://mrJean1.GitHub.io/PyGeodesy>}, the descriptions of U{Latitude/Longitude<https://www.Movable-Type.co.UK/scripts/latlong.html>}, U{Vincenty<https://www.Movable-Type.co.UK/scripts/latlong-vincenty.html>} and U{Vector-based<https://www.Movable-Type.co.UK/scripts/latlong-vectors.html>} geodesy, the original U{JavaScript source<https://GitHub.com/ChrisVeness/geodesy>} or U{docs<https://www.Movable-Type.co.UK/scripts/geodesy/docs>} and I{Karney}'s Python U{geographiclib<https://PyPI.org/project/geographiclib>} and U{C++ GeographicLib <https://GeographicLib.SourceForge.io/C++/doc/index.html>}. Also included are modules for conversions to and from U{Cassini-Soldner <https://GeographicLib.SourceForge.io/C++/doc/classGeographicLib_1_1CassiniSoldner.html>}, U{ECEF<https://WikiPedia.org/wiki/ECEF>} (Earth-Centered, Earth-Fixed cartesian), U{UTM <https://www.Movable-Type.co.UK/scripts/latlong-utm-mgrs.html>} (Universal Transverse Mercator and U{Exact<https://GeographicLib.SourceForge.io/C++/doc/classGeographicLib_1_1TransverseMercatorExact.html>}), U{UPS<https://WikiPedia.org/wiki/Universal_polar_stereographic_coordinate_system>} (Universal Polar Stereographic) and U{Web Mercator<https://WikiPedia.org/wiki/Web_Mercator>} (Pseudo-Mercator) coordinates, U{MGRS<https://GeographicLib.SourceForge.io/C++/doc/classGeographicLib_1_1MGRS.html>} (Military Grid Reference System, UTM I{and} UPS) and U{OSGR<https://www.Movable-Type.co.UK/scripts/latlong-os-gridref.html>} (British Ordinance Survery Grid Reference) grid references, U{TRF<http://ITRF.ENSG.IGN.Fr>} (Terrestrial Reference Frames) and modules to encode and decode U{EPSG<https://EPSG.org>}, U{Geohashes <https://www.Movable-Type.co.UK/scripts/geohash.html>}, U{Georefs (WGRS) <https://WikiPedia.org/wiki/World_Geographic_Reference_System>} and U{Garefs (GARS) <https://WikiPedia.org/wiki/Global_Area_Reference_System>}. Other modules provide U{Albers equal-area<https://GeographicLib.SourceForge.io/ html/classGeographicLib_1_1AlbersEqualArea.html>} projections, U{equidistant <https://GeographicLib.SourceForge.io/C++/doc/classGeographicLib_1_1AzimuthalEquidistant.html>} and other I{azimuthal} projections, Lambert I{conformal conic} projections and positions, functions to clip a path or polygon of C{LatLon} points using the U{Cohen-Sutherland<https://WikiPedia.org/wiki/Cohen-Sutherland_algorithm>}, the U{Liang-Barsky<https://www.CS.Helsinki.FI/group/goa/viewing/leikkaus/intro.html>} and the U{Sutherland-Hodgman<https://WikiPedia.org/wiki/Sutherland-Hodgman_algorithm>} methods, functions to U{simplify<https://Bost.Ocks.org/mike/simplify>} or linearize a path of C{LatLon} points (or a U{NumPy array <https://docs.SciPy.org/doc/numpy/ reference/generated/numpy.array.html>}), including implementations of the U{Ramer-Douglas-Peucker<https://WikiPedia.org/wiki/Ramer-Douglas-Peucker_algorithm>} the U{Visvalingam-Whyatt<https://hydra.Hull.ac.UK/resources/hull:8338>} and the U{Reumann-Witkam<https://psimpl.SourceForge.net/reumann-witkam.html>} algorithms and modified versions of the former. Other classes U{interpolate <https://docs.SciPy.org/doc/scipy/reference/interpolate.html>} the L{height<pygeodesy.heights>} of C{LatLon} points and L{Geoid<pygeodesy.geoids>} models or compute various U{Fréchet <https://WikiPedia.org/wiki/Frechet_distance>} or U{Hausdorff <https://WikiPedia.org/wiki/Hausdorff_distance>} distances. Installation ============ To install PyGeodesy, type C{pip install PyGeodesy} or C{easy_install PyGeodesy} in a terminal or command window. Alternatively, download C{PyGeodesy-yy.m.d.zip} from U{PyPI<https://PyPI.org/project/PyGeodesy>} or U{GitHub<https://GitHub.com/mrJean1/PyGeodesy>}, C{unzip} the downloaded file, C{cd} to directory C{Pygeodesy-yy.m.d} and type C{python[3] setup.py install}. To run all PyGeodesy tests, type C{python[3] setup.py test} or type C{python[3] test/run.py} or type C{python[3] test/unitTestSuite.py} before or after installation. Dependencies ============ Installation of I{Karney}'s Python package U{geographiclib<https://PyPI.org/project/geographiclib>} is optional, but required to use modules L{ellipsoidalKarney} and L{css}, L{azimuthal} classes L{EquidistantKarney} and L{GnomonicKarney} and the L{HeightIDWkarney} interpolator. Both U{numpy<https://PyPI.org/project/numpy>} and U{scipy<https://PyPI.org/project/scipy>} must be installed for most L{Geoid...<pygeodesy.geoids>} and L{Height...<pygeodesy.heights>} interpolators, except L{GeoidKarney} and the L{HeightIDW...<pygeodesy.heights>} ones. Functions and C{LatLon} methods L{circin6}, L{circum3}, L{circum4_}, L{soddy4}, L{trilaterate3d2} and C{trilaterate5} require U{numpy<https://PyPI.org/project/numpy>}. Modules L{ellipsoidalGeodSolve} and L{geodsolve} and L{azimuthal} classes L{EquidistantGeodSolve} and L{GnomonicGeodSolve} depend on I{Karney}'s C++ utility U{GeodSolve <https://GeographicLib.SourceForge.io/C++/doc/GeodSolve.1.html>} to be executable and set with env variable C{PYGEODESY_GEODSOLVE}. To compare C{MGRS} results from modules L{mgrs} and C{testMgrs} with I{Karney}'s C++ utility U{GeoConvert<https://GeographicLib.SourceForge.io/C++/doc/GeoConvert.1.html>}, the latter must be executable and set with env variable C{PYGEODESY_GEOCONVERT}. Module L{rhumbsolve} needs I{Karney}'s C++ utility U{RhumbSolve <https://GeographicLib.SourceForge.io/C++/doc/RhumbSolve.1.html>} to be executable and set with env variable C{PYGEODESY_RHUMBSOLVE}. Documentation ============= In addition to the C{pygeodesy} package, the U{PyGeodesy<https://PyPI.org/project/PyGeodesy>} U{distribution files<https://GitHub.com/mrJean1/PyGeodesy/tree/master/dist>} contain the tests, the test results (on macOS only) and the complete U{documentation<https://mrJean1.GitHub.io/PyGeodesy>} (generated by U{Epydoc<https://PyPI.org/project/epydoc>} using command line: C{epydoc --html --no-private --no-source --name=PyGeodesy --url=... -v pygeodesy}). Tests ===== The tests ran with Python 3.11.0 (with U{geographiclib<https://PyPI.org/project/geographiclib>} 2.0), Python 3.10.8 (with U{geographiclib<https://PyPI.org/project/geographiclib>} 2.0, U{numpy<https://PyPI.org/project/numpy>} 1.23.3, U{scipy<https://PyPI.org/project/scipy>} 1.9.1, U{GeoConvert<https://GeographicLib.SourceForge.io/html/utilities.html>} 1.51, U{GeodSolve<https://GeographicLib.SourceForge.io/html/utilities.html>} 1.51 and U{RhumbSolve <https://GeographicLib.SourceForge.io/html/utilities.html>} 1.51), Python 3.9.6, Python 3.8.10 (with U{geographiclib <https://PyPI.org/project/geographiclib>} 1.52, U{numpy<https://PyPI.org/project/numpy>} 1.19.2 and U{scipy <https://PyPI.org/project/scipy>} 1.5.2) and Python 2.7.18 (with U{geographiclib<https://PyPI.org/project/geographiclib>} 1.50, U{numpy<https://PyPI.org/project/numpy>} 1.16.6, U{scipy<https://PyPI.org/project/scipy>} 1.2.2, U{GeoConvert <https://GeographicLib.SourceForge.io/html/utilities.html>} 1.51, U{GeodSolve <https://GeographicLib.SourceForge.io/html/utilities.html>} 1.51 and U{RhumbSolve <https://GeographicLib.SourceForge.io/html/utilities.html>} 1.51), all on macOS 13.0 Venture and in 64-bit only. All tests ran with and without C{lazy import} for Python 3 and with command line option C{-W default} and env variable C{PYGEODESY_WARNINGS=on} for all Python versions. The results of those tests are included in the distribution files. Test coverage has been measured with U{coverage<https://PyPI.org/project/coverage>} 4.5.4 using Python 3.10.8, 3.9.6 and 2.7.18. The complete coverage report in HTML and a PDF summary are included in the distribution files. Python 3.11.0, 3.10.8 and 3.9.6 ran on Apple M1 Silicon (C{arm64}), I{natively}. Python 3.8.10 and 2.7.18 ran on Intel (C{x86_64}) or Intel I{emulation} ("C{arm64_x86_64}", see function L{pygeodesy.machine}). The tests also ran with Python 3.10.8 (and U{geographiclib<https://PyPI.org/project/geographiclib>} 2.0) on U{Debian 11<https://Cirrus-CI.com/github/mrJean1/PyGeodesy/master>} in 64-bit only and with Python 3.9.6, 3.8.0 and 2.7.17 (all with U{geographiclib<https://PyPI.org/project/geographiclib>} 1.52) on U{Windows Server 2012R2 <https://CI.AppVeyor.com/project/mrJean1/pygeodesy>} in 64- and/or 32-bit. A single-File and single-Directory application with C{pygeodesy} has been bundled using U{PyInstaller <https://PyPI.org/project/pyinstaller>} 3.4 and 64-bit Python 3.7.3 on macOS 10.13.6 High Sierra. Previously, the tests were run with Python 3.10.1-7, 3.9.1, 3.8.7, 3.7.1, 2.7.15, U{PyPy<https://PyPy.org>} 7.3.1 (Python 3.6.9) and U{PyPy<https://PyPy.org>} 7.1.1 (Python 2.7.13) (and U{geographiclib <https://PyPI.org/project/geographiclib>} 1.52, U{numpy<https://PyPI.org/project/numpy>} 1.16.3, 1.16.4, 1.16.6, 1.19.0, 1.19.4, 1.19.5 or 1.22.4 and U{scipy<https://PyPI.org/project/scipy>} 1.2.1, 1.4.1, 1.5.2 or 1.8.1) on U{Ubuntu 16.04<https://Travis-CI.com/mrJean1/PyGeodesy>}, with Python 3.10.0-1, 3.9.0-5, 3.8.0-6, 3.7.2-6, 3.7.0, 3.6.2-5, 3.5.3, 2.7.13-17, 2.7.10 and 2.6.9 (and U{numpy <https://PyPI.org/project/numpy>} 1.19.0, 1.16.5, 1.16.2, 1.15.2, 1.14.0, 1.13.1, 1.8.0rc1 or 1.6.2 and U{scipy<https://PyPI.org/project/scipy>} 1.5.0), U{PyPy<https://PyPy.org>} 7.3.0 (Python 2.7.13 and 3.6.9), U{PyPy<https://PyPy.org>} 6.0.0 (Python 2.7.13 and 3.5.3) and U{Intel-Python<https://software.Intel.com/ en-us/distribution-for-python>} 3.5.3 (and U{numpy<https://PyPI.org/project/numpy>} 1.11.3) on macOS 12.1-6 Monterey, 11.0-5.2-6.1 Big Sur (aka 10.16), 10.15.3, 10.15.5-7 Catalina, macOS 10.14 Mojave, macOS 10.13.6 High Sierra, macOS 10.12 Sierra, MacOS X 10.11 El Capitan and/or MacOS X 10.10 Yosemite, with U{Pythonista <https://OMZ-Software.com/pythonista>}3.2 (with geographiclib 1.50 or 1.49 and numpy 1.8.0) on iOS 14.4.2, 11.4.1, 12.0-3 on iPad4, iPhone6, iPhone10 and/or iPhone12, with U{Pythonista<https://OMZ-Software.com/pythonista>} 3.1 on iOS 10.3.3, 11.0.3, 11.1.2 and 11.3 on iPad4, all in 64-bit only and with 32-bit Python 2.7.14 on Windows 10 Pro and with 32-bit Python 2.6.6 on Windows XP SP3. Notes ===== All Python source code has been statically U{checked<https://GitHub.com/ActiveState/code/tree/master/recipes/ Python/546532_PyChecker_postprocessor>} with U{PyChecker<https://PyPI.org/project/pychecker>}, U{PyFlakes <https://PyPI.org/project/pyflakes>}, U{PyCodeStyle<https://PyPI.org/project/pycodestyle>} (formerly Pep8) and U{McCabe<https://PyPI.org/project/mccabe>} using Python 2.7.18 and with U{Flake8<https://PyPI.org/project/flake8>} using Python 3.10.8, both in 64-bit on macOS 13.0 Venture. For a summary of all I{Karney}-based functionality in C{pygeodesy}, see module U{karney <https://mrJean1.GitHub.io/PyGeodesy/docs/pygeodesy.karney-module.html>}. In Python 2, symbols L{S_DEG}, L{S_MIN}, L{S_SEC}, L{S_RAD} and L{S_SEP} may be multi-byte, non-ascii characters and if so, I{not} C{unicode}. Env variables ============= The following environment variables are observed by C{PyGeodesy}: - C{PYGEODESY_EXCEPTION_CHAINING} - see module L{pygeodesy.errors}. - C{PYGEODESY_FSUM_PARTIALS} - see module L{pygeodesy.fsums} and class L{pygeodesy.Fsum}. - C{PYGEODESY_FSUM_RESIDUAL} - see module L{pygeodesy.fsums} and class L{pygeodesy.Fsum}. - C{PYGEODESY_GEOCONVERT} - see module L{pygeodesy.mgrs}. - C{PYGEODESY_GEODSOLVE} - see module L{pygeodesy.geodsolve}. - C{PYGEODESY_LAZY_IMPORT} - see module L{pygeodesy.lazily} and variable L{pygeodesy.isLazy}. - C{PYGEODESY_NOTIMPLEMENTED} - __special__ methods return C{NotImplemented} if set to "std". - C{PYGEODESY_RHUMBSOLVE} - see module L{pygeodesy.rhumbsolve}. - C{PYGEODESY_UPS_POLES} - see modules L{pygeodesy.ups} and L{pygeodesy.mgrs}. and these to control standard or I{named} C{repr}esentations: - C{PYGEODESY_BEARING_STD_REPR} - see method L{pygeodesy.Bearing}C{.__repr__}. - C{PYGEODESY_BOOL_STD_REPR} - see method L{pygeodesy.Bool}C{.__repr__}. - C{PYGEODESY_DEGREES_STD_REPR} - see method L{pygeodesy.Degrees}C{.__repr__}. - C{PYGEODESY_FLOAT_STD_REPR} - see method L{pygeodesy.Float}C{.__repr__}. - C{PYGEODESY_INT_STD_REPR} - see method L{pygeodesy.Int}C{.__repr__}. - C{PYGEODESY_METER_STD_REPR} - see method L{pygeodesy.Meter}C{.__repr__}. - C{PYGEODESY_RADIANS_STD_REPR} - see method L{pygeodesy.Radians}C{.__repr__}. - C{PYGEODESY_STR_STD_REPR} - see method L{pygeodesy.Str}C{.__repr__}. plus during development: - C{PYGEODESY_FOR_DOCS} - for extended documentation by C{epydoc}. - C{PYGEODESY_GEOGRAPHICLIB} - see module L{pygeodesy.karney}. - C{PYGEODESY_WARNINGS} - see module L{pygeodesy.props} and function L{pygeodesy.DeprecationWarnings}. - C{PYGEODESY_XPACKAGES} - see module L{pygeodesy.basics}. - C{PYTHONDEVMODE} - see modules L{pygeodesy.errors} and L{pygeodesy.props}. and: - C{PYGEODESY_INIT__ALL__} - Set env variable C{PYGEODESY_INIT__ALL__} to anything other than C{"__all__"} to avoid importing all C{pygeodesy} modules unnecessarily (in Python 2 or with C{PYGEODESY_LAZY_IMPORT} turned off in Python 3). However, to import a C{pygeodesy} item, the item name must be qualified with the C{module} name, for example C{ from pygeodesy.ellipsoidalExact import LatLon } License ======= **) U{Copyright (C) 2016-2022 -- mrJean1 at Gmail -- All Rights Reserved. <https://OpenSource.org/licenses/MIT>} C{Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions:} C{The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software.} C{THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.} @newfield example: Example, Examples @var EPS: System's M{epsilon} ≈ 2.22044604925e-16 (C{float}). @var EPS0: M{EPS**2} ≈ 4.9e-32 for near-zero comparison @var EPS02: M{EPS**4} ≈ 2.4e-63 for near-zero squared comparison @var EPS1: M{1 - EPS} ≈ 0.9999999999999998 (C{float}). @var EPS2: M{EPS * 2} ≈ 4.440892098501e-16 (C{float}). @var EPS_2: M{EPS / 2} ≈ 1.110223024625e-16 (C{float}). @var EPS4: M{EPS * 4} ≈ 8.881784197001e-16 (C{float}). @var F_D: Format degrees as unsigned "deg°" with symbol, plus compass point suffix C{N, S, E} or C{W} (C{str}). @var F_DM: Format degrees as unsigned "deg°min′" with symbols, plus suffix (C{str}). @var F_DMS: Format degrees as unsigned "deg°min′sec″" with symbols, plus suffix (C{str}). @var F_DEG: Format degrees as unsigned "[D]DD" I{without} symbol, plus suffix (C{str}). @var F_MIN: Format degrees as unsigned "[D]DDMM" I{without} symbols, plus suffix (C{str}). @var F_SEC: Format degrees as unsigned "[D]DDMMSS" I{without} symbols, plus suffix (C{str}). @var F_D60: Format degrees as unsigned "[D]DD.MMSS" C{sexagecimal} I{without} symbols, plus suffix (C{str}). @var F__E: Format degrees as unsigned "%E" I{without} symbols, plus suffix (C{str}). @var F__F: Format degrees as unsigned "%F" I{without} symbols, plus suffix (C{str}). @var F__G: Format degrees as unsigned "%G" I{without} symbols, plus suffix (C{str}). @var F_RAD: Convert degrees to radians and format as unsigned "RR" with symbol, plus suffix (C{str}). @var F_D_: Format degrees as signed "-/deg°" with symbol, I{without} suffix (C{str}). @var F_DM_: Format degrees as signed "-/deg°min′" with symbols, I{without} suffix (C{str}). @var F_DMS_: Format degrees as signed "-/deg°min′sec″" with symbols, I{without} suffix (C{str}). @var F_DEG_: Format degrees as signed "-/[D]DD" I{without} symbol, I{without} suffix (C{str}). @var F_MIN_: Format degrees as signed "-/[D]DDMM" I{without} symbols, I{without} suffix (C{str}). @var F_SEC_: Format degrees as signed "-/[D]DDMMSS" I{without} symbols, I{without} suffix (C{str}). @var F_D60_: Format degrees as signed "-/[D]DD.MMSS" C{sexagecimal} I{without} symbols, I{without} suffix (C{str}). @var F__E_: Format degrees as signed "-/%E" I{without} symbols, I{without} suffix (C{str}). @var F__F_: Format degrees as signed "-/%F" I{without} symbols, I{without} suffix (C{str}). @var F__G_: Format degrees as signed "-/%G" I{without} symbols, I{without} suffix (C{str}). @var F_RAD_: Convert degrees to radians and format as signed "-/RR" I{without} symbol, I{without} suffix (C{str}). @var F_D__: Format degrees as signed "-/+deg°" with symbol, I{without} suffix (C{str}). @var F_DM__: Format degrees as signed "-/+deg°min′" with symbols, I{without} suffix (C{str}). @var F_DMS__: Format degrees as signed "-/+deg°min′sec″" with symbols, I{without} suffix (C{str}). @var F_DEG__: Format degrees as signed "-/+[D]DD" I{without} symbol, I{without} suffix (C{str}). @var F_MIN__: Format degrees as signed "-/+[D]DDMM" I{without} symbols, without suffix (C{str}). @var F_SEC__: Format degrees as signed "-/+[D]DDMMSS" I{without} symbols, I{without} suffix (C{str}). @var F_D60__: Format degrees as signed "-/+[D]DD.MMSS" C{sexagecimal} I{without} symbols, I{without} suffix (C{str}). @var F__E__: Format degrees as signed "-/+%E" I{without} symbols, I{without} suffix (C{str}). @var F__F__: Format degrees as signed "-/+%F" I{without} symbols, I{without} suffix (C{str}). @var F__G__: Format degrees as signed "-/+%G" I{without} symbols, I{without} suffix (C{str}). @var F_RAD__: Convert degrees to radians and format as signed "-/+RR" I{without} symbol, I{without} suffix (C{str}). @var DIG: System's M{float decimal digits} = 15 (C{int}). @var INF: Infinity (C{float}), see functions L{pygeodesy.isinf} and L{pygeodesy.isfinite} and C{NINF}. @var INT0: C{int(0)}, missing Z-components, C{if B{z}=B{INT0}}, see functions L{pygeodesy.isint0}, L{pygeodesy.meeus2} @var MANT_DIG: System's M{float mantissa bits} = 53 (C{int}). @var MAX: System's M{float max} ≈ 1.798e+308 (C{float}). @var MIN: System's M{float min} ≈ 2.225e-308 (C{float}). @var NAN: Not-A-Number (C{float}), see function L{pygeodesy.isnan}. @var NEG0: Negative 0.0 (C{float}), see function L{pygeodesy.isneg0}. @var NINF: Negative infinity (C{float}), see function L{pygeodesy.isninf} and C{INF}. @var NN: Empty (C{str}), U{I{Nomen Nescio}<https://Wiktionary.org/wiki/N.N.>}. @var PI: Constant M{math.pi} (C{float}). @var PI2: Two PI, M{PI * 2}, aka I{Tau} (C{float}). @var PI_2: Half PI, M{PI / 2} (C{float}). @var PI3: Three PI, M{PI * 3} (C{float}). @var PI3_2: One and a half PI, M{PI * 3 / 2} (C{float}). @var PI_3: One third PI, M{PI / 3} (C{float}). @var PI4: Four PI, M{PI * 4} (C{float}). @var PI_4: Quarter PI, M{PI / 4} (C{float}). @var R_MA: Equatorial earth radius (C{meter}), WGS84, EPSG:3785. @var R_MB: Polar earth radius (C{meter}), WGS84, EPSG:3785. @var R_M: Mean (spherical) earth radius (C{meter}). @var R_KM: Mean (spherical) earth radius (C{km}, kilometer). @var R_NM: Mean (spherical) earth radius (C{NM}, nautical miles). @var R_SM: Mean (spherical) earth radius (C{SM}, statute miles). @var R_FM: Former FAI-Sphere earth radius (C{meter}). @var R_GM: Average earth radius, distance to geoid surface (C{meter}) @var R_QM: Earth' (triaxial) quadratic mean radius (C{meter}) @var R_VM: Aviation/Navigation earth radius (C{meter}). @var S_DEG: Degrees symbol, default C{"°"} @var S_MIN: Minutes symbol, default C{"′"} aka I{PRIME} @var S_SEC: Seconds symbol, default C{"″"} aka I{DOUBLE_PRIME} @var S_RAD: Radians symbol, default C{""} aka L{pygeodesy.NN} @var S_DMS: If C{True} include, otherwise cancel all DMS symbols, default C{True}. @var S_SEP: Separator between C{deg°|min′|sec″|suffix}, default C{""} aka L{pygeodesy.NN} @var Conics: Registered, predefined conics (C{enum-like}). @var Datums: Registered, predefined datums (C{enum-like}). @var Ellipsoids: Registered, predefined ellipsoids (C{enum-like}). @var RefFrames: Registered, predefined reference frames (C{enum-like}). @var Transforms: Registered, predefined transforms (C{enum-like}). @var isLazy: Lazy import setting (C{int} 0, 1, 2 or 3+) from C{env} variable C{PYGEODESY_LAZY_IMPORT}, or C{None} if C{lazy import} is not supported or not enabled, or C{False} if initializing C{lazy import} failed. @var pygeodesy_abspath: Fully qualified C{pygeodesy} directory name (C{str}). @var version: Normalized C{PyGeodesy} version (C{str}). ''' from os.path import abspath, basename, dirname import sys _init__all__ = True # <https://PyInstaller.ReadTheDocs.io/en/stable/runtime-information.html> _isfrozen = getattr(sys, 'frozen', False) pygeodesy_abspath = dirname(abspath(__file__)) # sys._MEIPASS + '/pygeodesy' _pygeodesy_ = __package__ or basename(pygeodesy_abspath) if _isfrozen: # avoid lazy import _lazy_import2 = None else: # setting __path__ should ... __path__ = [pygeodesy_abspath] try: # ... make this import work, ... import pygeodesy.lazily as _ except ImportError: # ... if it doesn't, extend # sys.path to include this very directory such # that all public and private sub-modules can # be imported (and checked by PyChecker, etc.) sys.path.insert(0, pygeodesy_abspath) # XXX __path__[0] try: # lazily requires Python 3.7+, see lazily.__doc__ from pygeodesy.lazily import _a_l_l_, _getenv, LazyImportError, \ _lazy_import2 # PYCHOK expected _, __getattr__ = _lazy_import2(_pygeodesy_) # PYCHOK expected _init__all__ = _getenv('PYGEODESY_INIT__ALL__', _a_l_l_) == _a_l_l_ del _a_l_l_, _getenv except (ImportError, LazyImportError, NotImplementedError): _lazy_import2 = None if _init__all__ and not _lazy_import2: # import and set __all__ # import all public modules and export as such import pygeodesy.albers as albers # PYCHOK exported import pygeodesy.azimuthal as azimuthal # PYCHOK exported import pygeodesy.deprecated.bases as bases # PYCHOK DEPRECATED import pygeodesy.basics as basics # PYCHOK exported import pygeodesy.cartesianBase as cartesianBase # PYCHOK exported import pygeodesy.clipy as clipy # PYCHOK exported import pygeodesy.constants as constants # PYCHOK exported import pygeodesy.css as css # PYCHOK exported import pygeodesy.deprecated.datum as datum # PYCHOK DEPRECATED import pygeodesy.datums as datums # PYCHOK exported import pygeodesy.deprecated as deprecated # PYCHOK exported import pygeodesy.dms as dms # PYCHOK exported import pygeodesy.ecef as ecef # PYCHOK exported import pygeodesy.elevations as elevations # PYCHOK exported import pygeodesy.ellipsoidalBase as ellipsoidalBase # PYCHOK exported import pygeodesy.ellipsoidalBaseDI as ellipsoidalBaseDI # PYCHOK exported import pygeodesy.ellipsoidalExact as ellipsoidalExact # PYCHOK exported import pygeodesy.ellipsoidalGeodSolve as ellipsoidalGeodSolve # PYCHOK exported import pygeodesy.ellipsoidalKarney as ellipsoidalKarney # PYCHOK exported import pygeodesy.ellipsoidalNvector as ellipsoidalNvector # PYCHOK exported import pygeodesy.ellipsoidalVincenty as ellipsoidalVincenty # PYCHOK exported import pygeodesy.ellipsoids as ellipsoids # PYCHOK exported import pygeodesy.elliptic as elliptic # PYCHOK exported import pygeodesy.epsg as epsg # PYCHOK exported import pygeodesy.etm as etm # PYCHOK exported import pygeodesy.errors as errors # PYCHOK exported import pygeodesy.fmath as fmath # PYCHOK exported import pygeodesy.formy as formy # PYCHOK exported import pygeodesy.frechet as frechet # PYCHOK exported import pygeodesy.fstats as fstats # PYCHOK exported import pygeodesy.fsums as fsums # PYCHOK exported import pygeodesy.gars as gars # PYCHOK exported import pygeodesy.geodesicx as geodesicx # PYCHOK exported import pygeodesy.geodsolve as geodsolve # PYCHOK exported import pygeodesy.geohash as geohash # PYCHOK exported import pygeodesy.geoids as geoids # PYCHOK exported import pygeodesy.hausdorff as hausdorff # PYCHOK exported import pygeodesy.heights as heights # PYCHOK exported import pygeodesy.interns as interns # PYCHOK exported import pygeodesy.iters as iters # PYCHOK exported import pygeodesy.karney as karney # PYCHOK exported import pygeodesy.ktm as ktm # PYCHOK exported import pygeodesy.latlonBase as latlonBase # PYCHOK exported import pygeodesy.lazily as lazily # PYCHOK exported import pygeodesy.lcc as lcc # PYCHOK exported import pygeodesy.ltp as ltp # PYCHOK exported import pygeodesy.ltpTuples as ltpTuples # PYCHOK exported import pygeodesy.mgrs as mgrs # PYCHOK exported import pygeodesy.named as named # PYCHOK exported import pygeodesy.namedTuples as namedTuples # PYCHOK exported import pygeodesy.nvectorBase as nvectorBase # PYCHOK exported import pygeodesy.deprecated.nvector as nvector # PYCHOK DEPRECATED import pygeodesy.osgr as osgr # PYCHOK exported import pygeodesy.points as points # PYCHOK exported import pygeodesy.props as props # PYCHOK exported import pygeodesy.resections as resections # PYCHOK exported import pygeodesy.rhumbsolve as rhumbsolve # PYCHOK exported import pygeodesy.rhumbx as rhumbx # PYCHOK exported import pygeodesy.simplify as simplify # PYCHOK exported import pygeodesy.sphericalBase as sphericalBase # PYCHOK exported import pygeodesy.sphericalNvector as sphericalNvector # PYCHOK exported import pygeodesy.sphericalTrigonometry as sphericalTrigonometry # PYCHOK exported import pygeodesy.solveBase as solveBase # PYCHOK exported import pygeodesy.streprs as streprs # PYCHOK exported import pygeodesy.trf as trf # PYCHOK exported import pygeodesy.triaxials as triaxials # PYCHOK exported import pygeodesy.units as units # PYCHOK exported import pygeodesy.unitsBase as unitsBase # PYCHOK exported import pygeodesy.ups as ups # PYCHOK exported import pygeodesy.utily as utily # PYCHOK exported import pygeodesy.utm as utm # PYCHOK exported import pygeodesy.utmups as utmups # PYCHOK exported import pygeodesy.utmupsBase as utmupsBase # PYCHOK exported import pygeodesy.vector2d as vector2d # PYCHOK exported import pygeodesy.vector3d as vector3d # PYCHOK exported import pygeodesy.vector3dBase as vector3dBase # PYCHOK exported import pygeodesy.webmercator as webmercator # PYCHOK exported import pygeodesy.wgrs as wgrs # PYCHOK exported # lift all public classes, constants, functions, etc. but ONLY # from the following modules ... (see also David Beazley's # talk <https://DaBeaz.com/modulepackage/index.html>) ... BUT # NOT modules ellipsoidal*, epsg, gars, geohash, spherical*, # vector and wgrs ... in order keep those as modules ONLY from pygeodesy.albers import * # PYCHOK __all__ from pygeodesy.azimuthal import * # PYCHOK __all__ from pygeodesy.basics import * # PYCHOK __all__ # from pygeodesy.cartesianBase import * # PYCHOK __(_)__ from pygeodesy.clipy import * # PYCHOK __all__ from pygeodesy.constants import * # PYCHOK __all__ from pygeodesy.css import * # PYCHOK __all__ from pygeodesy.datums import * # PYCHOK __all__ from pygeodesy.deprecated import * # PYCHOK __all__ from pygeodesy.dms import * # PYCHOK __all__ from pygeodesy.ecef import * # PYCHOK __all__ from pygeodesy.elevations import * # PYCHOK __all__ # from pygeodesy.ellipsoidalBase import * # PYCHOK __(_)__ # from pygeodesy.ellipsoidalBaseDI import * # PYCHOK __(_)__ # from pygeodesy.ellipsoidalExact import * # PYCHOK __(_)__ # from pygeodesy.ellipsoidalGeodSolve import * # PYCHOK __(_)__ # from pygeodesy.ellipsoidalKarney import * # PYCHOK __(_)__ # from pygeodesy.ellipsoidalNvector import * # PYCHOK __(_)__ from pygeodesy.ellipsoidalVincenty import VincentyError # PYCHOK lazily from pygeodesy.ellipsoids import * # PYCHOK __all__ from pygeodesy.elliptic import * # PYCHOK __all__ from pygeodesy.epsg import Epsg, EPSGError # PYCHOK lazily from pygeodesy.etm import * # PYCHOK __all__ from pygeodesy.errors import * # PYCHOK __all__ from pygeodesy.fmath import * # PYCHOK __all__ from pygeodesy.formy import * # PYCHOK __all__ from pygeodesy.frechet import * # PYCHOK __all__ from pygeodesy.fstats import * # PYCHOK __all__ from pygeodesy.fsums import * # PYCHOK __all__ from pygeodesy.gars import Garef, GARSError # PYCHOK lazily from pygeodesy.geodesicx import * # PYCHOK __all__ from pygeodesy.geodsolve import * # PYCHOK __all__ from pygeodesy.geohash import Geohash, GeohashError, \ Neighbors8Dict, Resolutions2Tuple # PYCHOK lazily from pygeodesy.geoids import * # PYCHOK __all__ from pygeodesy.hausdorff import * # PYCHOK __all__ from pygeodesy.heights import * # PYCHOK __all__ from pygeodesy.interns import * # PYCHOK __all__ from pygeodesy.iters import * # PYCHOK __all__ from pygeodesy.karney import * # PYCHOK __all__ from pygeodesy.ktm import * # PYCHOK __all__ # from pygeodesy.latlonBase import * # PYCHOK __(_)__ from pygeodesy.lazily import * # PYCHOK __all__ from pygeodesy.lcc import * # PYCHOK __all__ from pygeodesy.ltp import * # PYCHOK __all__ from pygeodesy.ltpTuples import * # PYCHOK __all__ from pygeodesy.mgrs import * # PYCHOK __all__ from pygeodesy.named import * # PYCHOK __all__ from pygeodesy.namedTuples import * # PYCHOK __all__ # from pygeodesy.nvectorBase import * # PYCHOK __(_)__ from pygeodesy.osgr import * # PYCHOK __all__ from pygeodesy.points import * # PYCHOK __all__ from pygeodesy.props import * # PYCHOK __all__ from pygeodesy.resections import * # PYCHOK __all__ from pygeodesy.rhumbsolve import * # PYCHOK __all__ from pygeodesy.rhumbx import * # PYCHOK __all__ from pygeodesy.simplify import * # PYCHOK __all__ # from pygeodesy.sphericalBase import * # PYCHOK __(_)__ # from pygeodesy.sphericalNvector import * # PYCHOK __(_)__ # from pygeodesy.sphericalTrigonometry import * # PYCHOK __(_)__ # from pygeodesy.solveBase import * # PYCHOK __(_)__ from pygeodesy.streprs import * # PYCHOK __all__ from pygeodesy.trf import * # PYCHOK __all__ from pygeodesy.triaxials import * # PYCHOK __all__ from pygeodesy.units import * # PYCHOK __all__ from pygeodesy.unitsBase import * # PYCHOK __all__ from pygeodesy.ups import * # PYCHOK __all__ from pygeodesy.utily import * # PYCHOK __all__ from pygeodesy.utm import * # PYCHOK __all__ from pygeodesy.utmups import * # PYCHOK __all__ # from pygeodesy.utmupsBase import * # PYCHOK __(_)__ from pygeodesy.vector2d import * # PYCHOK __all__ from pygeodesy.vector3d import * # PYCHOK __all__ # from pygeodesy.vector3dBase import * # PYCHOK __(_)__ from pygeodesy.webmercator import * # PYCHOK __all__ from pygeodesy.wgrs import Georef, WGRSError # PYCHOK lazily def _all(globalocals): from pygeodesy.interns import NN as _NN, _attribute_, _COMMASPACE_, \ _DOT_, _module_, _s_ # PYCHOK expected from pygeodesy.streprs import Fmt as _Fmt # PYCHOK expected # collect all public module and attribute names and check # that modules are imported from this package, 'pygeodesy' # (but the latter only when not bundled with PyInstaller or # Py2Exe, since the file-layout is different. Courtesy of # GilderGeek<https://GitHub.com/mrJean1/PyGeodesy/issues/31>) ns = list(lazily._ALL_INIT) # XXX ps = () if _isfrozen else set([_pygeodesy_] + __name__.split(_DOT_)) for mod, attrs in lazily._ALL_LAZY.enums(): if mod not in globalocals: t = _DOT_(_pygeodesy_, mod) raise ImportError('missing %s%s: %s' % (_module_, _NN, t)) ns.append(mod) # check that all other public attributes do exist if attrs and isinstance(attrs, tuple): t = tuple(a for a in attrs if a not in globalocals) if t: s = _Fmt.SQUARE(_s_, len(t)) if len(t) > 1 else _NN t = _COMMASPACE_.join(_DOT_(_pygeodesy_, mod, a) for a in t) raise ImportError('missing %s%s: %s' % (_attribute_, s, t)) ns.extend(attrs) # XXX if ps: # check that mod is a _pygeodesy_ module # XXX m = globalocals[mod] # assert(m.__name__ == mod) # XXX f = getattr(m, '__file__', _NN) # XXX d = dirname(abspath(f)) if f else pygeodesy_abspath # XXX p = getattr(m, '__package__', _NN) or _pygeodesy_ # XXX if p not in ps or d != pygeodesy_abspath: # XXX raise ImportError('foreign module: %s from %r' % (_DOT_(p, mod), f or p)) return tuple(set(ns)) # remove duplicates __all__ = _all(globals()) # or locals() else: __all__ = () _init__all__ = False from pygeodesy.interns import _DOT_ # PYCHOK import __version__ = '22.11.02' # see setup.py for similar logic version = _DOT_.join(map(str, map(int, __version__.split(_DOT_)))) # XXX del ellipsoidalBase, ellipsoidalBaseDI, sphericalBase, utmupsBase # PYCHOK expected del abspath, basename, dirname, _DOT_, _lazy_import2, sys # **) MIT License # # Copyright (C) 2016-2022 -- mrJean1 at Gmail -- All Rights Reserved. # # Permission is hereby granted, free of charge, to any person obtaining a # copy of this software and associated documentation files (the "Software"), # to deal in the Software without restriction, including without limitation # the rights to use, copy, modify, merge, publish, distribute, sublicense, # and/or sell copies of the Software, and to permit persons to whom the # Software is furnished to do so, subject to the following conditions: # # The above copyright notice and this permission notice shall be included # in all copies or substantial portions of the Software. # # THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS # OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, # FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL # THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR # OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, # ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR # OTHER DEALINGS IN THE SOFTWARE.